Evaluate the integral.

A. -2 ln 2
B. 2 ln 2
C. 4 ln 2
D. 2 ln 3


Answer: B

Mathematics

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Integrate the function f over the given region.f(x, y) = y2 ex4 over the triangular region in the first quadrant bounded by the lines    and 

A. e
B. 27(e + 1)
C. 9(e - 1)
D. (e - 1)

Mathematics

Solve the problem.199! + 200! =

A. 2 × 200! - 200 B. 201 × 199! C. 399! D. 2 × 199! + 200 E. none of these

Mathematics

The rectangular coordinates of a point are given. Express the point in polar coordinates with  and (, -)

A. (, 315°)
B. (, 135°)
C. (, 225°)
D. (6, 225°)

Mathematics

For the given functions f and g, find the requested function and state its domain.f(x) = 4 - 3x; g(x) = -7x + 3Find f + g.

A. (f + g)(x) = 4x + 7;  or 
B. (f + g)(x) = -7x + 4;  or 
C. (f + g)(x) = -3x; (-?, ?)
D. (f + g)(x) = -10x + 7; (-?, ?)

Mathematics